A360386 Number of permutations p of [n] satisfying |p(i+8) - p(i)| <> 8 for all 1 <= i <= n-8.

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 352800, 3312000, 33742080, 373948416, 4498421760, 58506854400, 819095961600, 12290021130240, 194999390208000, 3294723692298240, 59059379675381760, 1119453588069875712

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Roberto Tauraso, The Dinner Table Problem: The Rectangular Case, INTEGERS: Electronic Journal of Combinatorial Number Theory, Vol. 6 (2006), #A11.

Crossrefs

Column k=8 of A333706.

Cf. A110128.

Sequence in context: A152644 A152637 A152645 * A054873 A324075 A193936

Adjacent sequences: A360383 A360384 A360385 * A360387 A360388 A360389

Keyword

nonn,more,hard

Author

Seiichi Manyama, Feb 05 2023

Extensions

a(12)-a(20) from Alois P. Heinz, Feb 07 2023

Status

approved